Posted: October 2nd, 2022

Write an equation where c is the cost to build a house and f is the square feet of floor space.

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Algebraic Expressions and Graphing
Part 1: New Home
A construction company’s cost to build a new home is $35,000 plus $95 for each square foot of floor space.
a. Write an equation where c is the cost to build a house and f is the square feet of floor space.
b. Use your equation to determine how much it will cost to build a house with an area of 1600 square feet.
Part 2: TV vs. Video Games
The relationship between the number of hours students spend watching TV every week and the number of hours they spend playing video games is shown in the scatter plot. Based on the data, what is the approximate number of hours of video games for a student who watches 5 hours of TV per week? Explain how you found your answer.
Part 3: Bracelets
Shawn makes bracelets using stone beads. He buys the beads for $0.30 each. The wire used to make each bracelet costs $0.10.
a. Write an equation to find the cost (c) to make a bracelet with b beads.
b. One of Shawn’s popular bracelets, the Charmer, includes 15 stone beads. Another bracelet, the Sparkler, uses 20 beads. How much does it cost to make each bracelet?
c. The Charmer bracelet sells for $8 and the Sparkler sells for $12. Write equations to show the relationship between the number of each kind of bracelet (b) Shawn sells and the money he makes (m).

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